Quantum systems are always subject to interactions with an environment, typically resulting in decoherence and distortion of quantum correlations. It has been recently shown that a controlled interaction with the environment may actually help to create a state, dubbed as “dark”, which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different orthogonal states act as a computational basis. Here, we devise a symmetry-based conceptual framework to engineer such degenerate dark spaces (DDS), protected from decoherence by the environment. We illustrate this construction with a model protocol, inspired by the fractional quantum Hall effect, where the DDS basis is isomorphic to a set of degenerate Laughlin states. The long-time steady state of our driven-dissipative model exhibits thus all the characteristics of degenerate vacua of a unitary topological system.
Bibliographical noteFunding Information:
We are indebted to R. Fazio for valuable discussions. R.A.S. acknowledges funding from EPSRC grant EP/M02444X/1, and the ERC Starting Grant No. 678795 TopInSy. F.I. acknowledges the financial support of the Brazilian funding agencies National Council for Scientific and Technological Development—CNPq (Grant No. 308205/2019-7) and FAPERJ (Grant No. E-26/211.318/2019). A.K. was supported by NSF grants DMR-1608238 and DMR-2037654. Y.G. was supported by the Deutsche For-schungsgemeinschaft (DFG) TRR 183 (project B02), and EG 96/13-1, by the Israel Science Foundation and the US-Israel Binational Science Foundation (BSF), Jerusalem, Israel.
© 2020, The Author(s).
PubMed: MeSH publication types
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